Dirac-semimetal phase diagram of two-dimensional black phosphorus

Abstract

Black phosphorus (BP), a layered van der Waals material, reportedly has a band gap sensitive to external perturbations and manifests a Dirac-semimetal phase when its band gap is closed. Previous studies were focused on effects of each perturbation, lacking a unified picture for the band-gap closing and the Dirac-semimetal phase. Here, using pseudospins from the glide-reflection symmetry, we study the electronic structures of mono- and bilayer BP and construct the phase diagram of the Dirac-semimetal phase in the parameter space related to pressure, strain, and electric field. We find that the Dirac-semimetal phase in BP layers is singly connected in the phase diagram, indicating the phase is topologically identical regardless of the gap-closing mechanism. Our findings can be generalized to the Dirac semimetal phase in anisotropic layered materials and can play a guiding role in search for a new class of topological materials and devices.

5 pages, 4 figures+Supplemental Material. The title and the main text have been revised extensively and the supplemental material added

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• Magnetic Ordering, Anomalous Lifshitz Transition and Topological Grain Boundaries in Two-Dimensional Biphenylene Network
• Anisotropic magneto-optical absorption and linear dichroism in two-dimensional semi-Dirac electron systems
• Robust and Pristine Top ological Dirac Semimetal Phase in Pressured Two-Dimensional Black Phosphorous
• Anisotropic hybrid excitation modes in monolayer and double-layer phosphorene on polar substrates
• Stability, efficiency, and mechanism of n-type doping by hydrogen adatoms in two-dimensional transition metal dichalcogenides
• Anisotropic Pseudospin Tunneling in Two-Dimensional Black Phosphorus Junctions
• Power law decay of local density of states oscillations near a line defect in a system with semi-Dirac points
• Light-induced ultrafast glide-mirror symmetry breaking in black phosphorus
• Laser induced surface magnetization in Floquet-Weyl semimetals
• Tunable quantum interference effect on magnetoconductivity in few-layer black phosphorus
• Floquet-Weyl semimetals generated by an optically resonant interband-transition
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Anisotropic charge density wave in electron-hole double monolayers: Applied to phosphorene